130573822500 has 675 divisors, whose sum is σ = 475358268693. Its totient is φ = 31220640000.

The previous prime is 130573822439. The next prime is 130573822501. The reversal of 130573822500 is 5228375031.

It is a happy number.

The square root of 130573822500 is 361350.

It is a perfect power (a square), and thus also a powerful number.

130573822500 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 73 + 82 + 2 + 500 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 92614314276 + 37959508224 = 304326^2 + 194832^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (130573822501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 1788682464 + ... + 1788682536.

Almost surely, 2^130573822500 is an apocalyptic number.

130573822500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130573822500 is the 361350-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130573822500

130573822500 is an abundant number, since it is smaller than the sum of its proper divisors (344784446193).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130573822500 is an equidigital number, since it uses as much as digits as its factorization.

130573822500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Multiplying 130573822500 by its sum of digits (36), we get a square (4700657610000 = 2168100²).

130573822500 divided by its sum of digits (36) gives a square (3627050625 = 60225²).

The spelling of 130573822500 in words is "one hundred thirty billion, five hundred seventy-three million, eight hundred twenty-two thousand, five hundred".